This is a direct consequence of Lemma REF  and proposition 3 of [1]}, where it is shown in the first case that
\(\max _{|z_j| = 3^j/\log T} |G(z_1,z_2,z_3,z_4)| \ll T (\log T)^{k^2 - 4},\) 
and in the second case that
\(\max _{|z_j| = 3^j/\log T} |G(z_1,z_2,z_3,z_4)| \ll (\log T_{v-1})^{k^2 - 4} \left(18^r r! P_v^r \exp (P_v) \right).\) 
